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人気のある微分積分 >

derivative of 1+2e^x-3x

解

\frac{d}{d x} (1 + 2 e^{x} - 3 x)

解

2 e^{x} - 3

解答ステップ

\frac{d}{d x} (1 + 2 e^{x} - 3 x)

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) + \frac{d}{d x} (2 e^{x}) - \frac{d}{d x} (3 x)

\frac{d}{d x} (1) = 0

\frac{d}{d x} (2 e^{x}) = 2 e^{x}

\frac{d}{d x} (3 x) = 3

= 0 + 2 e^{x} - 3

簡素化

= 2 e^{x} - 3

グラフ

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